164684590000 has 500 divisors, whose sum is σ = 490980679640. Its totient is φ = 53491536000.

The previous prime is 164684589989. The next prime is 164684590013. The reversal of 164684590000 is 95486461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (500).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 8667609991 + ... + 8667610009.

Almost surely, 2^164684590000 is an apocalyptic number.

164684590000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164684590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245490339820).

164684590000 is an abundant number, since it is smaller than the sum of its proper divisors (326296089640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164684590000 is an frugal number, since it uses more digits than its factorization.

164684590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 164684590000 in words is "one hundred sixty-four billion, six hundred eighty-four million, five hundred ninety thousand".